The thermal noise-induced escape rate of passive particles from energetic traps is well commemorated
as Kramers' problem [1]}. Furthermore,
this rate theory had been extended to the external noise-driven non-equilibrium system [1]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}. Because of its success in explaining experimental findings, the Kramers' rate theory attracted wide attention over the years.
